55/12 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top) here, 55 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 12. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 55/12 as a decimal?

$55/12 as a decimal$

Answer

55/12 in decimals can be written as 4.58333… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 55/12 in decimal, we will use the division method. Here 55 is larger than 12, so we can start division directly. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (55) will be taken as the dividend, and the denominator (12) will be taken as the divisor.

Step 2: Divide 55 by 12. The quotient will be 4, and the remainder will be 7.

Step 3: Since there is a remainder, we will take the help of decimals. We will add 0 to the remainder, making it 70 and add a decimal point in the quotient place.

Step 4: Now divide 70 by 12. The quotient will be 5, and the remainder will be 10.

Step 5: Bring down another 0 in the dividend place to make 10 as 100 and then repeat the division process. The quotient will be 8, and the remainder will be 4.

Step 6: Continue dividing by adding zeros to the remainder. It will result in the recurring decimal 4.5833...

The answer for 55/12 as a decimal will be 4.5833...

Important Glossaries for 55/12 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Recurring Decimal: A decimal that has one or more repeating numbers or sequence of numbers after the decimal point.